What is the derivative of f(x)=2ln(2x) ?

The derivative of f(x)=2ln(2x) is 2/x

What is the first derivative of f(x)=2ln(2x) ?

The first derivative of f(x)=2ln(2x) is 2/x

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derivative of

f (x) = 2 ln (2 x)

\frac{2}{x}

Solution steps

\frac{d}{d x} (2 ln (2 x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (ln (2 x))

Apply the chain rule:

\frac{1}{2 x} \frac{d}{d x} (2 x)

= \frac{1}{2 x} \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= 2 \cdot \frac{1}{2 x} \cdot 2

Simplify

2 \cdot \frac{1}{2 x} \cdot 2 : \frac{2}{x}

= \frac{2}{x}

\frac{d y}{d x} + x^{- 1} y = x^{- 1} cos (x) y^{- 2}

\int_{1}^{\infty} (\frac{1}{x}) d x

x y^{^{'}} + 3 y = \frac{2 e ^{- 2 x}}{x ^{2}}

\int 11 e^{x} d x

\int x^{4} e^{x z} - 2 z sin (z^{2}) d z

What is the derivative of f(x)=2ln(2x) ?
The derivative of f(x)=2ln(2x) is 2/x
What is the first derivative of f(x)=2ln(2x) ?
The first derivative of f(x)=2ln(2x) is 2/x